ok so first.. why is |(x0 - x)/x0| < 1/2?? did someone decide to randomnly pick 1/2...? and why is |(x0 - x)/x0| < 1/2... where did the ln go..? wouldnt it make more sense if it was .. ln|(x0 - x)/x0| < 1/2 ?

Take delta = min (epsilon*(x0)/2 , 1/2*x0)

how was delta chosen to be these??

thank you! any help ... would save me a lot of time..effort. im looking through books..online.. believe me im trying but this is logic (and i am poor at it!)(Crying)

i havent written up the whole problem,only the stage i am stuck so far!

Apr 8th 2010, 03:06 PM

Drexel28

Quote:

Originally Posted by matlabnoob

Before i posted this,i tried reading my notes again and again! (Crying) so any help....id be thankful!
here is the problem...

ok so first.. why is |(x0 - x)/x0| < 1/2?? did someone decide to randomnly pick 1/2...? and why is |(x0 - x)/x0| < 1/2... where did the ln go..? wouldnt it make more sense if it was .. ln|(x0 - x)/x0| < 1/2 ?

Take delta = min (epsilon*(x0)/2 , 1/2*x0)

how was delta chosen to be these??

thank you! any help ... would save me a lot of time..effort. im looking through books..online.. believe me im trying but this is logic (and i am poor at it!)(Crying)

i havent written up the whole problem,only the stage i am stuck so far!

This is hard to read and follow.

You only need to prove that it's continuous at one and the rest follows. I don't know how you define the natural log though, like this ?

Apr 8th 2010, 05:08 PM

xalk

Quote:

Originally Posted by matlabnoob

Before i posted this,i tried reading my notes again and again! (Crying) so any help....id be thankful!
here is the problem...

ok so first.. why is |(x0 - x)/x0| < 1/2?? did someone decide to randomnly pick 1/2...? and why is |(x0 - x)/x0| < 1/2... where did the ln go..? wouldnt it make more sense if it was .. ln|(x0 - x)/x0| < 1/2 ?

Take delta = min (epsilon*(x0)/2 , 1/2*x0)

how was delta chosen to be these??

thank you! any help ... would save me a lot of time..effort. im looking through books..online.. believe me im trying but this is logic (and i am poor at it!)(Crying)

i havent written up the whole problem,only the stage i am stuck so far!

Do you mean that:

δ =min{ }

Apr 9th 2010, 03:58 PM

matlabnoob

Quote:

Originally Posted by xalk

Do you mean that:

δ =min{ }

Yes this is what i mean!
(how do you use mathematical symbols?i didnt know how to use them here)

i am very very clueless about this problem still... and taking me hours to understand

Apr 9th 2010, 03:59 PM

matlabnoob

Quote:

Originally Posted by Drexel28

This is hard to read and follow.

You only need to prove that it's continuous at one and the rest follows. I don't know how you define the natural log though, like this ?

i understand the background of it..that i have to prove continuity and uniform continuity will imply continuity. but the problem confuses me so much. it looks all very random!

Apr 9th 2010, 04:00 PM

Drexel28

Quote:

Originally Posted by matlabnoob

Yes this is what i mean!
(how do you use mathematical symbols?i didnt know how to use them here)

i am very very clueless about this problem still... and taking me hours to understand

Ok. Well you have three choices A) rewrite in LaTeX or a word document (with equation editor) and post it up and I will review it B) leave it as it is and maybe xalk or another member will help you C) I can give an alternative answer. Which do you want?

Apr 9th 2010, 04:06 PM

Drexel28

Quote:

Originally Posted by matlabnoob

.that i have to prove continuity and uniform continuity will imply continuity

I'm not sure what you mean by this. U.C. implies cont. but the other direction is not necessarily true (e.g. , with )

Apr 9th 2010, 04:17 PM

matlabnoob

Quote:

Originally Posted by Drexel28

Ok. Well you have three choices A) rewrite in LaTeX or a word document (with equation editor) and post it up and I will review it B) leave it as it is and maybe xalk or another member will help you C) I can give an alternative answer. Which do you want?